Corollary 3.1 ([1]}) 

Let \(\text{Diam(Cay(G, S))}\)  be the diameter of \(\text{Cay(G, S)}\)  of a transposition tree \(T\)  having \(n\)  vertices. Let \(P\)  be an initial position and \(Q\)  be the final position for a permutation puzzle on \(T\) . Then,
